209 resultados para Commuting.
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"DOT-T-92-04"--P. 4 of cover.
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Mode of access: Internet.
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Mode of access: Internet.
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"GAO-01-926."
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Mode of access: Internet.
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"DOT-I-85-19"--P. [3] of cover.
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Thesis (Master's)--University of Washington, 2016-06
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The XXZ Gaudin model with generic integrable boundaries specified by generic non-diagonal K-matrices is studied. The commuting families of Gaudin operators are diagonalized by the algebraic Bethe ansatz method. The eigenvalues and the corresponding Bethe ansatz equations are obtained. (C) 2004 Elsevier B.V. All rights reserved.
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The A(n-1) Gaudin model with integrable boundaries specified by non-diagonal K-matrices is studied. The commuting families of Gaudin operators are diagonalized by the algebraic Bethe ansatz method. The eigenvalues and the corresponding Bethe ansatz equations are obtained. (c) 2005 Elsevier B.V. All rights reserved.
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Doubt is cast on the much quoted results of Yakupov that the torsion vector in embedding class two vacuum space-times is necessarily a gradient vector and that class 2 vacua of Petrov type III do not exist. The rst result is equivalent to the fact that the two second fundamental forms associated with the embedding necessarily commute and has been assumed in most later investigations of class 2 vacuum space-times. Yakupov stated the result without proof, but hinted that it followed purely algebraically from his identity: Rijkl Ckl = 0 where Cij is the commutator of the two second fundamental forms of the embedding.From Yakupov's identity, it is shown that the only class two vacua with non-zero commutator Cij must necessarily be of Petrov type III or N. Several examples are presented of non-commuting second fundamental forms that satisfy Yakupovs identity and the vacuum condition following from the Gauss equation; both Petrov type N and type III examples occur. Thus it appears unlikely that his results could follow purely algebraically. The results obtained so far do not constitute denite counter-examples to Yakupov's results as the non-commuting examples could turn out to be incompatible with the Codazzi and Ricci embedding equations. This question is currently being investigated.
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We define Bäcklund–Darboux transformations in Sato’s Grassmannian. They can be regarded as Darboux transformations on maximal algebras of commuting ordinary differential operators. We describe the action of these transformations on related objects: wave functions, tau-functions and spectral algebras.
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Nonlinearity plays a critical role in the intra-cavity dynamics of high-pulse energy fiber lasers. Management of the intra-cavity nonlinear dynamics is the key to increase the output pulse energy in such laser systems. Here, we examine the impact of the order of the intra-cavity elements on the energy of generated pulses in the all-normal dispersion mode-locked ring fiber laser cavity. In mathematical terms, the nonlinear light dynamics in resonator makes operators corresponding to the action of laser elements (active and passive fiber, out-coupler, saturable absorber) non-commuting and the order of their appearance in a cavity important. For the simple design of all-normal dispersion ring fiber laser with varying cavity length, we found the order of the cavity elements, leading to maximum output pulse energy.
Multipliers on Spaces of Functions on a Locally Compact Abelian Group with Values in a Hilbert Space
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2000 Mathematics Subject Classification: Primary 43A22, 43A25.
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2000 Mathematics Subject Classification: 42A45.
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The purpose of this qualitative study was to explore the academic and nonacademic experiences of self-identified first-generation college students who left college before their second year. The study sought to find how the experiences might have affected the students' decision to depart. The case study method was used to investigate these college students who attended Florida International University. Semi-structured interviews were conducted with six ex-students who identified themselves as first-generation college students. The narrative data from the interviews were transcribed, coded, and analyzed. Analysis was informed by Pascarella, Pierson, Wolniak, and Terenzini's (2004) theoretical framework of important college academic and nonacademic experiences. An audit trail was kept and the data was triangulated by using multiple sources to establish certain findings. The most critical tool for enhancing trustworthiness was the use of member checking. I also received ongoing feedback from my major professor and committee throughout the dissertation process. The participants reported the following academic experiences: (a) patterns of coursework; (b) course-related interactions with peers; (c) relationships with faculty; (d) class size; (e) academic advisement; (f) orientation and peer advisors; and (e) financial aid. The participants reported the following nonacademic experiences; (f) on- or off- campus employment; (g) on- or off-campus residence; (h) participation in extracurricular activities; (i) noncourse-related peer relationships; (j) commuting and parking; and (k) FIU as an HSI. Isolationism and poor fit with the university were the most prevalent reasons for departure. The reported experiences of these first-generation college students shed light on those experiences that contributed to their departure. University administrators should give additional attention to these stories in an effort to improve retention strategies for this population. All but two of the participants went on to enroll in other institutions and reported good experiences with their new institutions. Recommendations are provided for continued research concerning how to best meet the needs of college students like the participants; students who have not learned from their parents about higher education financial aid, academic advisement, and orientation.